If the discriminant, b² - 4ac is<u> positive</u>
<h3>How to complete the statement?</h3>
From the question, we have the following equation of discriminant
The discriminant (d) is calculated as
d = b² - 4ac
The solutions of a quadratic equation are dependent on the following conditions
- If d = 0, the quadratic equation has 1 real solution
- If d < 0, the quadratic equation has imaginary solutions
- If d > 0, the quadratic equation has 2 different real solutions
This means that "d > 0, the quadratic equation has 2 different real solutions" implies that the discriminant is positive
Hence, the complete statement is (b) positive
Read more about discriminant at
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Answer:
First, find two points on the graph:
- (x₁, y₁) = (0, 2)
- (x₂, y₂) = (2, 8)
Slope = 
16 + (-3) = 16 - 3 = 13
Answer:
- table: 14, 16, 18
- equation: P = 2n +12
Step-by-step explanation:
Perimeter values will be ...
rectangles . . . perimeter
1 . . . 14
2 . . . 16
3 . . . 18
__
The perimeter of a figure is twice the sum of the length and width. Here, the length is a constant 6. The width is n, the number of rectangles. So, the perimeter is ...
P = 2(6 +n) = 12 +2n
Your equation is ...
P = 2n +12 . . . . . . . . perimeter P of figure with n rectangles.
_____
<em>Additional comment</em>
You may be expected to write the equation using y and x for the perimeter and the number of rectangles. That would be ...
y = 2x +12 . . . . . . . . . perimeter y of figure with x rectangles
Answer:
37.74 ft
Step-by-step explanation:
An angle and its opposite side are known
Sin (of the angle)= opposite/ hypotenuse
The hypotenuse is equal to the length of the ladder, therefore solve the hypotenuse
Sin (32)= 20/ hypotenuse
hypotenuse= 20/ Sin (32)
Sin (32)=0.5299
hypotenuse= 20/ 0.5299
37.74 ft
Hopefully this helps :)
Given:
a ladder with three steps.
top step is 45° angle.
45° / 3 steps = 15°
So, top step is 45°. Middle step is 30°. Bottom step is 15°. Ground is 0°
The photographer would shout on the bottom step at an angle of 15°.
